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Finding the Fourth Proportional to 1,627.95, 2,442.94 and 1,012.86

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Solution

The fourth proportional to 1,627.95, 2,442.94 and 1,012.86 is: 1,519.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.95 : 2,442.94 = 1,012.86 : x
  2. Step 2: Convert to fraction form
    1,627.95/2,442.94 = 1,012.86/x
  3. Step 3: Cross multiply
    1,627.95x = 2,442.94 × 1,012.86
  4. Step 4: Simplify right side
    1,627.95x = 2,474,346.53
  5. Step 5: Solve for x
    x = 2,474,346.53/1,627.95
  6. Step 6: Final answer
    x = 1,519.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.